REVIEW: Geometry Module 2 and Module 3

[Pages:6]Name:

Class:

REVIEW: Geometry Module 2 and Module 3

l. Which statement describes the image?

Date:

ID: A

A Reflection in the line y = x B Rotation of 1800 about point

C Rotation of 1800 about the origin D Translation right two units, down 2 units

2. A ABC is shown below. Suppose the triangle is translated using the rule (x,y) -> (x + 5, y - 7). What are the coordinates of the image of vertex C after this transformation?

(-8,

6)

Name:

3. Apply the transformation to the triangle with the vertices: E(3, 0), F(l, --2),G(5, --4) Identify and describe the transformation if (x, y) (x -- 6, y + 2)

This is a translation 6 units left and 2 units up.

This is a translation 6 units left.

This is a translation 2 units left and 6 units up.

4. Specify the rule that maps AEFG to AE'F'G'

This is a translation 6 units left and 2 units down.

A (x,y)->(x-2, y-6) B (x,y)->(x+6, y+2) C (x,y)->(x-6, y-2) D (x,y)->(x+2, y+6)

Name:

5. Identify the image of point

9) when A is reflected across the line y = x.

Draw the Pre-Image and the Image. List the coordinates of image A' ?

6

10

6. Graph the polygon and its reflection across the y-axis.

0)

List the coordinates of the vertices of the image:J',K',L ',M'.

-s' (5,0)

UNAN

7. A triangle with vertices

, QC--2l,), and

is reflected across x=2.

Draw the pre-image and image. Identify the coordinates of point Q'

*unn

Name: 8. Reflect the figure across the x-axis.

9. Rotate the figure 1800 about the origin. List the coordinates of the vertices of the image: S', T', V', U'

(kt-k

10. Draw the rotation of the triangle about the origin by 2700 List the coordinates of the vertices of the image: J', K', L'.

( 311)

Name: ll. Draw the rotation of the triangle about point K by 900. List the coordinates of the vertices of the image: J', K', L'.

C (ill)

12. Apply the transformation of the polygon ABCD to WXYZ with the given vertices. Identify and describe the transformation (x,y) --Y(--x,--y) A(-3, 6), 13(-3,l), CO, 1),DO, 6)

Nam c:

ID: A

13. Rotate ARSQ with vertices R(4, --1),S(5, 3), and g 3, l) by 900 about the origin then reflect over y -x.

anonma

(-3141)

14. ARST is rotated 900 about the origin. Then its image is reflected across the x-axis. Draw AR' ' S' ' T' after these 2 transformations. List the coordinates of the vertices o the image: R", S", T"

T (2B) Tl(-kli)

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